Determine whether each statement is true or false. if true, explain your reasoning . If false provide a counter example.

Mathematics

1 answer:

Goshia [24]3 years ago

3 0

Answer:

1. False

2. False

3. True

Step-by-step explanation:

1. The diagonals of a rectangle always form four congruent triangles, which is a false statement.

The counter-statement will be, the diagonals of a square always form four congruent triangles.

2. A quadrilateral has perpendicular diagonals. Is this enough to determine what type of quadrilateral it is?

The answer is no.

The counter-statement will be, a quadrilateral has perpendicular diagonals, then it may be a rhombus or a square.

3. Explain why drawing a diagonal on any parallelogram will always result in two congruent triangles and it is true that the two triangles will be congruent as the opposite sides of the parallelogram are equal and there is a common side which is the diagonal itself.

Therefore, using SSS criteria the triangles are congruent. (Answer)

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Which values are solutions to the inequality? 5r≤6r−8 Select each correct answer. r = 7 r = 8 r = 9 r = 10

Ratling [72]

Answer:

r = 8,9,10

Step-by-step explanation:

The given inequality is :

5r≤6r−8 ...(1)

We need to find the value of r.

Subtracting 5r to both sides of the inequality .

5r-5r≤6r-5r−8

0≤r−8

r ≥ 8

Hence, the values of r are 8,9,10.

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2 years ago

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The equation r(t)= (2t)i + (2t-16t^2)j is the position of a particle in space at time t. Find the angle between the velocity and

ankoles [38]

Answer:

The answer is 135 degrees.

Step-by-step explanation:

As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.

$r(t)=(2t)i+(2t-16t^{2})j$